78736392 has 96 divisors (see below), whose sum is σ = 252158400. Its totient is φ = 21716352.

The previous prime is 78736349. The next prime is 78736403. The reversal of 78736392 is 29363787.

It is a happy number.

78736392 is a `hidden beast` number, since 7 + 8 + 7 + 3 + 639 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11923 + ... + 17309.

It is an arithmetic number, because the mean of its divisors is an integer number (2626650).

Almost surely, 2^78736392 is an apocalyptic number.

78736392 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78736392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126079200).

78736392 is an abundant number, since it is smaller than the sum of its proper divisors (173422008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

78736392 is a wasteful number, since it uses less digits than its factorization.

78736392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5435 (or 5428 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 78736392 is about 8873.3529175842. The cubic root of 78736392 is about 428.6062535511.

The spelling of 78736392 in words is "seventy-eight million, seven hundred thirty-six thousand, three hundred ninety-two".